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8 months ago

Hi, can you help me answer this question, please, thank you:)

Mathematics

1 answer:

elixir [45]8 months ago

3 0

EXPLANATION

We have that the area under the probability density curve is equal to 1.

As the width of the rectangle is 2, the height must be 1/2.

Then, the probability that X is between 0.2 and 1.54 is as follows:

P = 1/2 ( 1.54 - 0.2 )

= 0.67

Hence, the probability is 0.67

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10,000 is compounded quarterly at 12% interest for t years, what expression represents the amount of money after t years

Murljashka [212]

Answer: 10,000(1.03)⁴ˣ

Step-by-step explanation:

A = P(1 + $\frac{r}{n}$ )ⁿˣ

A is the amount (new balance): unknown

P is the principal (amount you started with): 10,000

r is the interest rate: 12% = .12

n is the number of times per year it is compounded: quarterly = 4

x is the number of years: x

A = 10,000(1 + $\frac{.12}{4}$ )⁴ˣ

= 10,000(1 + .03)⁴ˣ

= 10,000(1.03)⁴ˣ

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Trejon rides his bike 2 1/4 miles each day. Which equation can be used to find r, the number of miles he will ride in 8 days?

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Answer:

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3 years ago

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3 years ago

Read 2 more answers

Find the area a of the triangle whose sides have the given lengths. a = 20, b = 15, c = 25 a =?

PIT_PIT [208]

The area of a triangle with sides a = 20, b = 15, and c = 25 is 150.

The sides of the triangle are given as a = 20, b = 15, and c = 25.

We will use Hero's formula to find the area of this triangle.

<h3>What is Heron's formula?</h3>

It is a three-face polygon that consists of three edges and three vertices.

We use Heron's formula to find the area of a triangle with 3 sides:

Herons formula:

Area of a triangle = $\sqrt{s(s-a)(s-b)(s-c)}\\$

Where a, b, and c are sides of a triangle.

And s = semi perimeter of a triangle.

s = $\frac{a+b+c}{2}$

If the sum of two sides of a triangle is greater than the third side of a triangle then the sides of a triangle are true.

Let the given sides be:

a = 20, b = 15 and c = 25.

(20 + 15) > 25

(20 + 25) > 15

(15 + 25) > 20 so the given sides are true.

Now,

Semi perimeter of the triangle:

s = (a+b+c) / 2

s = (20+15+25) / 2

s = 60 / 2

s = 30

Putting s = 30 in the area of the triangle.

we get,

Area of the triangle = $\sqrt{s(s-a)(s-b)(s-c)}\\$

Area of the triangle = $\sqrt{30(30-20)(30-15)(30-25)}\\\\\sqrt{30\times10\times15\times5}\\\\\sqrt{22500}\\\\150$

Thus, the area of a triangle is 150.

Learn more about the Area of triangles here:

brainly.com/question/11952845

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3 0

1 year ago

beni is shopping for a new cell phone plan. company a charges$72.25for a new phone and $85.50 per month.company b charges $151.2

tigry1 [53]

Missing questions and subsequent solutions:
(a) Write an equation for company A for cost, C, number of months, n, that Beni will pay for the phone.

Solution:
For company A:
C = 72.25 + 85.50n

(b) Write an eqyation for company B for cost, C, and number of months, n, that Bei will pay for the phone.

Solution:
For company B:
C = 151.25 + 65.75n

(c) Write an inequality when the cost from company A is better than cost from company B.

Solution:
72.25 + 85.50n ≤ 151.25 + 65.75n
(85.50-65.75)n ≤ (151.25 - 72.25)
19.75 n ≤ 79
n ≤ 4

(d) Value of n for which cost from the two companies will be the same.

Solution:
If cost for companies A and B are the same, then
72.25 + 85.50n = 151.25 + 65.75n
(85.5 - 65.75)n = 151.25 - 72.25
19.75n = 79
n = 79/19.75 = 4 months

After 4 months,
C = 72.25 + 85.5*4 = $414.25

7 0

3 years ago